Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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2011 - 20122

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Publisher: search.filters.publisher.John Wiley and Sons Inc.Subject: search.filters.subject.Nonlinear equations

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  • Article
    Citation - WoS: 17
    Citation - Scopus: 25
    The First Integral Method for Constructing Exact and Explicit Solutions To Nonlinear Evolution Equations
    (John Wiley and Sons Inc., 2012) Aslan, İsmail
    Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. In the present study, we deal with the negative order KdV equation and the generalized Zakharov system and derive some further results using the so-called first integral method. By means of the established first integrals, some exact traveling wave solutions are obtained in a concise manner.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 14
    On a 2+1-Dimensional Whitham-Broer System: a Resonant Nls Connection
    (John Wiley and Sons Inc., 2011) Rogers, Colin; Pashaev, Oktay
    It is established that the Whitham-Broer-Kaup shallow water system and the "resonant" nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1-dimensional version of the Whitham-Broer-Kaup system is constructed which, in turn, is equivalent to a recently introduced resonant Davey-Stewartson I system incorporating a Madelung-Bohm type quantum potential. A bilinear representation is adopted and resonant solitonic interaction in this new 2+1-dimensional Kaup-Broer system is exhibited.